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Finding the Third Proportional to 253,652 and 599,864

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Solution

The third proportional to 253,652 and 599,864 is: 1,418,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,652 : 599,864 = 599,864 : x
  2. Step 2: Convert to fraction form
    253,652/599,864 = 599,864/x
  3. Step 3: Cross multiply
    253,652x = 599,864 × 599,864
  4. Step 4: Simplify right side
    253,652x = 359,836,818,496
  5. Step 5: Solve for x
    x = 359,836,818,496/253,652
  6. Step 6: Final answer
    x = 1,418,624.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.